OAI/Analysis/Unitarizability/FiniteSynthesis.lean

GitHub source file

6 declarations, 0 contain sorry, 0 declared as axioms

Finite synthesis maps and their adjoints, with bounds for all small subfamilies.

  1. def OAI.Dixmier.FiniteSynthesis.synthesis line 14
  2. theorem OAI.Dixmier.FiniteSynthesis.synthesis_apply line 18
  3. theorem OAI.Dixmier.FiniteSynthesis.synthesis_adjoint_apply line 22
  4. def OAI.Dixmier.FiniteSynthesis.FrameBound line 31

    Source documentation

    The synthesis operator bound on subfamily coordinate spaces, including the empty subfamily.

    def FrameBound (v : I → EuclideanSpace ℂ K) (p : ℕ) (b : ℝ) : Prop :=
…
  5. theorem OAI.Dixmier.FiniteSynthesis.synthesis_sq_le line 34
  6. theorem OAI.Dixmier.FiniteSynthesis.analysis_sq_le line 42